Correct, but instead of getting a new computer (unless you were already wanting to do so) use the PPC version of Firefox specially made for the purpose: TenFourFox:
If you need to use plug-ins, it (like Firefox) does not officially support them, but there is away to make to do so!
Post back if you need instructions.
More details on doing this.
Get TenFourFox and basically continue using Firefox. It gets all the necesssary Firefox security updates and will use all the Firefox Add-ons. If you have an Intel Mac, it will run under Rosetta/PPC emulation, which shouldn't slow you down much, if at all--at least give it a try. All your bookmarks, everything, will still be there. It will use your current Firefox Profile.
Plug-ins like Flash are disabled by default, but they can easily be reenabled. Although I would leave out Java and use Flash with discretion (get the FlashBlock Add-on, which will set a placeholder for Flash content), since there are known Flash exploits for older versions of Flash.
TenFourFox home page
TenFourFox for G5 download
Thanks for all the replys. I have looked at the links and find some ambiguities in the compatability area with an older MAC Mini. I do have an Intel processor but my Mini is pre 2008. I know several sites that I use, require Flash and Java, another concern. In my limited tech knowledge, I am concerned about speed sacrifice in an emulation environment? Everything is working OK for now and I am going to keep using what I have (if it aint broke, don't fix it). Might change to Safari although I like FF a lot better.